0.606060… as a Fraction

0.606060… (0.60 repeating) as a fraction is 20/33.

How to convert 0.606060… to a fraction

  1. Let x = 0.606060... (the underlined part, 60, repeats forever).
  2. Move the decimal point past one full repeating block: 100x = 60.606060...
  3. Subtract to cancel the repeating tail: 100x − x = 60 − 0, so 99x = 60.
  4. Solve: x = 60/99. The greatest common divisor is 3, so x = 20/33.

Check

Divide 20 by 33 on a calculator: 20 ÷ 33 = 0.6060606061… which matches 0.606060….

Similar repeating decimals

DecimalFraction
0.585858…58/99
0.58666…44/75
0.5888…53/90
0.595959…59/99
0.6111…11/18
0.615615615…205/333
0.616161…61/99
0.6222…28/45

Another decimal? Browse the repeating decimal to fraction chart, the terminating decimal chart, or use the decimal to fraction converter.